Christie McHugh's five-year-old son and six-month-old daughter were with her when she died, following an apparent road rage incident.
She is believed to have suffered fatal head injuries after falling off the bonnet of a car.
A witness has described her lying in the road bleeding from a head wound.
Flowers have been left at the scene where she died.
More top news
Led by Quo frontman Francis Rossi, Parfitt's band mate for 50 years, the group's current line-up joined mourners at Woking Crematorium.
Currently the Ealing Council has a huge shortage of suitable space and sees these steel well insulated boxes as a cheaper alternative.
Staff at Envirowaste in Leyton say the medal may have been left within a piece of furniture and thrown away accidentally.